Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
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Página 7
... expression equal to another . If there are on both sides , or on either side , any terms with negative coefficients ( ἐν ἐλλείψεσί τινα είδη ) , the defects must be added on both sides until the terms on both sides have none but ...
... expression equal to another . If there are on both sides , or on either side , any terms with negative coefficients ( ἐν ἐλλείψεσί τινα είδη ) , the defects must be added on both sides until the terms on both sides have none but ...
Página 9
... expression " we have it in the Porisms " would have been inappropriate . In the first place , the Greek mathe- maticians do not usually give references in such a form as this to propositions which they cite when they come from the same ...
... expression " we have it in the Porisms " would have been inappropriate . In the first place , the Greek mathe- maticians do not usually give references in such a form as this to propositions which they cite when they come from the same ...
Página 10
... expression like τοῦτο γὰρ προ- γέγραπται , “ for this has already been proved , ” or δέδεικται γὰρ TOÛTO , " for this has been shown , " would have sufficed , or , if the propositions occurred later , some expression like és é§ñs ...
... expression like τοῦτο γὰρ προ- γέγραπται , “ for this has already been proved , ” or δέδεικται γὰρ TOÛTO , " for this has been shown , " would have sufficed , or , if the propositions occurred later , some expression like és é§ñs ...
Página 22
... expression give exceptional charm to his writing whenever he is free from the shackles of mathematical formulae and techni- calities . The Epistola Nuncupatoria is addressed to the Prince Ludwig , and Xylander neatly introduces it by ...
... expression give exceptional charm to his writing whenever he is free from the shackles of mathematical formulae and techni- calities . The Epistola Nuncupatoria is addressed to the Prince Ludwig , and Xylander neatly introduces it by ...
Página 35
... expression 445 , where the context again shows that 44 is for ȧpioμoi . ( 3 ) At the beginning of V. 9 there is a difficulty in the text , and Bachet notes that his MS . has μnte ó dirλaoíwv aŮTOû ч where a Vatican MS . reads ȧpioμóv ...
... expression 445 , where the context again shows that 44 is for ȧpioμoi . ( 3 ) At the beginning of V. 9 there is a difficulty in the text , and Bachet notes that his MS . has μnte ó dirλaoíwv aŮTOû ч where a Vatican MS . reads ȧpioμóv ...
Otras ediciones - Ver todo
Diophantus of Alexandria: A Study in the History of Greek Algebra Thomas L. Heath Vista previa restringida - 1910 |
Diophantus of Alexandria: A Study in the History of Greek Algebra Sir Thomas Little Heath,Leonhard Euler Vista de fragmentos - 1964 |
Términos y frases comunes
absolute term added Algebra arithm Assume auxiliary triangle Bachet Books coefficient commentary cube difference Dioph Diophantus double-equation equal Euler expression factors find a right-angled find three numbers find three squares find two numbers four numbers fraction Frénicle given number given ratio gives a square Greek hypotenuse Iamblichus indeterminate indeterminate equations integral Lagrange Lemma letter Maximus Planudes method minus multiplied Nesselmann obtain Oeuvres de Fermat polygonal number Porisms prime number problem proposition quadratic rational numbers required numbers required squares right-angled triangle satisfy the conditions solution square number substitute subtract Suppose Tannery Theon of Smyrna theorem third number triple-equation unknown quantity whence whole numbers Xylander καὶ